5th Grade TEKS 5.8(A,B, C) Coordinate Grids and Ordered Pairs

Match each term to its description. Move the correct term to each box. Not all terms will be used.



The vertical number line on a coordinate grid. ​ ​ (a)  

The first number in an ordered pair of numbers. ​ (b)  

The point where the horizontal axis intersects the vertical axis.​ (c)  

• Y-Axis
• X-Coordinate
• Origin
• Y-Coordinate
• Quadrant
• X-Axis

Three points are plotted on the coordinate grid in the image provided.

Three statements about the points on the coordinate grid are shown:
Statement I: Point S is located on the horizontal axis.
Statement II: Point Q is located at the origin.
Statement III: Point N is the same distance from the origin as point S.

Which statements about the points on this coordinate grid are true?

• Statement III only

• Statements I and II only

• Statements I and III only

• Statement II only

Which answer choice best describes the x-coordinate in an ordered pair?

• The horizontal line composed of the set of points that all have a y-coordinate of 0
  

• The first number in an ordered pair that determines the movement left or right from the origin on a coordinate grid

• The second number in an ordered pair that determines the movement up or down from the origin on a coordinate grid

• The intersection of two lines on a coordinate grid

Which statement is NOT true about a coordinate grid?

• The vertical number line is the y-axis.

• In a coordinate grid, the x-axis and the y-axis are perpendicular to each other.

• The x-coordinate is the second number in an ordered pair.

• The origin is the intersection of the x-axis and the y-axis.

Answer explanation

The X coordinate is the FIRST in the pair. The Y coordinate is second. (x,y)

Carmella plotted the ordered pair (1, 3) on a coordinate grid by moving 1 unit up and 3 units left from the origin. Which statement is TRUE?

• Carmella plotted both the x-coordinate and the y-coordinate incorrectly.

• Carmella plotted the x-coordinate incorrectly and the
  y-coordinate correctly.

• Carmella plotted the x-coordinate correctly and the y-coordinate incorrectly.

• Carmella plotted both the x-coordinate and the y-coordinate correctly.

Answer explanation

The x-coordinate moves left-to-right. The y-coordinate moves up-and-down. Carmella's ordered pair is (1,3), so she should move ONE space to the RIGHT and THREE spaces UP.



Three customers at a store each use a coupon for $5 off the total cost of what they are buying.

Which graph could best represent the total cost for each customer before using the coupon, x, and after using the coupon, y?

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Answer explanation

This questions requires a careful look at the x and y coordinates for each answer. If you look at letter C carefully, you'll see that the first X coordinate is $15 (the price BEFORE the coupon) and the y coordinate is $10 (the price AFTER the $5 coupon); $15-$5=$10. This goes back to your 4th grade lesson on Input-Output tables. The other answer choices DO NOT follow the rule of (X-$5=Y).

A table of input and output values is shown.

Which graph represents the values in the table.

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Answer explanation

Remember: your X-Coordinate tells you how many spaces to move LEFT or RIGHT. Your Y-Coordinate tells you how many spaces to move UP or DOWN.



An airline charges passengers a fee for each bag taken on the plane. The graph shows the relationship between the amount of money in dollars and the number of bags taken on the plane.

Which table is best represented by the graph?

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Answer explanation

C and D are both great answer choices, but look at the Y-Coordinates and the Y-Axis carefully. You'll notice that answer choice C has the incorrect values for the Y-Coordinates. Letter D is the best choice because the Y-Coordinates are correct. The other two choices are WAY off



Jonathan created a pattern by multiplying each x-coordinate by 2 to get the y-coordinate.

What are two points on the coordinate grid that fit this pattern?

Plot each point on the coordinate grid.

a

b

c

d

e

f

(0,4)

(4,8)

(3,6)

(0,0)

(2,4)

(1,2)

(0,1) 

(0,2)

(0,3)

(5,10)

Ruby used a number machine to create ordered pairs of numbers based on a rule. Some ordered pairs are shown in the image provided.

Which graph best represents the ordered pairs?

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